SOLUTION: The height of a triangle is 3 times the base. The area is 24 Inches. Find the base

Algebra ->  Triangles -> SOLUTION: The height of a triangle is 3 times the base. The area is 24 Inches. Find the base      Log On


   



Question 577757: The height of a triangle is 3 times the base. The area is 24 Inches. Find the base
Found 2 solutions by unlockmath, ikdeep:
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
We know the area of a triangle is 1/2BH where B is the base and H is the height.
Let x be the base:
1/2(x)(3x)=24
Rewritten as:
1.5x^2=24
Divide both sides by 1.5
x^2=16
Square root both sides:
x=+-4
4 is the only answer so we know the base is 4 inches.
Make sense?
RJ
www.math-unlock.com

Answer by ikdeep(226) About Me  (Show Source):
You can put this solution on YOUR website!
height of triangle = h = 12
and base of triangle = b = 4
You can see step by step solution from the below URL
http://www.algebraden.com/solved-problems/find-the-base/20.htm